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(a) Give a context-free grammar G1 for the language A1 = {0 ^i1 ^j | i > j 0}. (Note: There is a CFG with

(a) Give a context-free grammar G1 for the language A1 = {0 ^i1 ^j | i > j 0}. (Note: There is a CFG with 3 rules that generates A1.)

(b) Give a context-free grammar G2 for the language A2 = {0 ^i1 ^j | 0 i < j}.

(c) Give a context-free grammar G3 for the language A3 = {0 ^i1 ^j | i not equalto j}. (Note: A3 is the union of A1 and A2.)

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